5211475200 has 378 divisors, whose sum is σ = 19357290134. Its totient is φ = 1388482560.

The previous prime is 5211475169. The next prime is 5211475207. The reversal of 5211475200 is 25741125.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 5204756736 = 2592^2 + 72144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211475207) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665042 + ... + 4666158.

Almost surely, 2^5211475200 is an apocalyptic number.

5211475200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5211475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678645067).

5211475200 is an abundant number, since it is smaller than the sum of its proper divisors (14145814934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5211475200 is an equidigital number, since it uses as much as digits as its factorization.

5211475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5211475200 is about 72190.5478577355. The cubic root of 5211475200 is about 1733.7516676016.

The spelling of 5211475200 in words is "five billion, two hundred eleven million, four hundred seventy-five thousand, two hundred".